Question

I have been asked the following question 'Critically evaluate different techniques used to solve problems on series and parallel RLC circuits using AC theory'. I am not sure what this question actually means. As far as I can see there is a standard mathematical way of looking at RLC circuits. I can't see any reference to different techniques. Or is this referring to evaluating the different steps of the standard solution. In which case again I am stuck, because these are well defined steps that are used in practice. My final thought is that some of these analyses involve differential equations. Does this refer to different ways of solving these equations? Any help would be really appreciated. Thanks.

Answer 1

Any series or parallel RLC circuit can be solved with the help of standard mathematical aproach.. i.e. using differential equations.

apart from this we use nodal or mesh analysis to find the initial conditions of the circuit if and only if initial conditions exist case.

According to your dought,there is a way to solve series or parallel RLC circuit instead of using standard method. I.e. LAPLACE TRANSFORM METHOD.

in order to use the Laplace transform we need to find the initial conditions in the RLC circuit.

Whether the given circuit is under AC or DC theory,we can use Laplace transform to find the response of R,L,C at any time t. And laplLap transform gives the fastest way to get the solution.

And there is another way I.e. Z-transform is also used to solve the RLC circuit but this Z transform must be obtained from Laplace transform.but this method is very lengthy.so it better to go with the laplace transform method.